The optimal constant in the L 2 Folland-Stein inequality on the quaternionic Heisenberg group
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 11 (2012) no. 3, pp. 635-652.

We determine the best (optimal) constant in the L 2 Folland-Stein inequality on the quaternionic Heisenberg group and the non-negative functions for which equality holds.

Published online:
Classification: 58G30, 53C17
Ivanov, Stefan 1; Minchev, Ivan 2; Vassilev, Dimiter 3

1 University of Sofia Faculty of Mathematics and Informatics   blvd. James Bourchier 5 1164, Sofia, Bulgaria
2 University of Sofia Sofia, Bulgaria and Mathematik und Informatik Philipps-Universität Marburg Hans-Meerwein-Str. / Campus Lahnberge 35032 Marburg, Germany
3 Department of Mathematics and Statistics University of New Mexico Albuquerque, New Mexico, 87131-0001
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     title = {The optimal constant in the $L^2$ {Folland-Stein} inequality on the quaternionic {Heisenberg} group},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {635--652},
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Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter. The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 11 (2012) no. 3, pp. 635-652. http://archive.numdam.org/item/ASNSP_2012_5_11_3_635_0/

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